# Test Page

## This is the LHCb Wiki test page

$\frac{{\rm d}^3N}{{\rm d}p^2_t{\rm d}\phi{\rm d}y} = \frac{{\rm d}^2N}{2\pi{\rm d}p^2_t{\rm d}y} [1 + 2\sum_n{v_n {\rm cos}(n(\phi - \Psi_R))}]$

A further analysis focuses on an exclusive $b$-decay mode, namely $B_d \rightarrow J/\psi K_S^0$, which is one of a number of decays that are interesting for studies of CP violation in the B system.

In the Standard Model $B^0_d-\overline{B^0_d}$ mixing is a direct consequence of second order weak interactions. Starting with a $B^0_d$ meson produced at time $t$=0, the probability, ${\mathcal P}$, to observe a $\overline{B^0_d}$ decaying at the proper time $t$ can be written, neglecting effects from $\mathcal{CP}$ violation: ${\mathcal P}(B^0_d\rightarrow \overline{B^0_d})~= ~\frac{\Gamma_d}{2} e^{- \Gamma_{d} t} [\cosh (\frac{\Delta \Gamma_d}{2} t)~+~\cos (\Delta m_d t) ]$. Here $\Gamma_d~=~\frac{\Gamma_d^H~+~\Gamma_d^L}{2}$, $\Delta \Gamma_d~=~\Gamma_d^H -\Gamma_d^L$, and $\Delta m_d~=~m^H_d~-~m^L_d$, where $H$ and $L$ denote respectively the heavy and light physical states.

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